Question

The square root of 6400​

Answer 1

Answer:

$\sqrt{6400} =80$

Step-by-step explanation:

Given : $\sqrt{6400}$

To find : Square root of the given number

Solution :  

• The given number is $\sqrt{6400}$
• We have to find Square root of given number.
• Square root of any number can be found out by factorizing that number and by making pairs of the same factors, we have to take only one number from the pair.  
• Multiplication of such factors gives us the square root of the number.  
• Applying this method for the given number, we get

$\sqrt{6400} = \sqrt2*2*2*2*2*2*2*2*5*5}$

         $= 2*2*2*2*5$

            ∴ $\sqrt{6400} =80$

Answer 2

Given,

$6400$

We have to find the square root of given number

The positive number, when multiplied by it self, represents the square of the number.

The square root of the square of a positive number gives the original number.

First we have to written factors of given number

$\sqrt{6400}$

$\sqrt{6400}= \sqrt{2\times2\times2\times2\times 2\times2\times 5\times2\times2\times5}$

$= \sqrt{5^{2}\times 4^{2}\times4^{2} }$

$= 5\times4\times4$

$= 80$

Therefore, the square root of $6400$ is $80$.